Curated OER
Guess My Rule - Linear
Young scholars examine the relationship between two equations. In this algebra lesson, students investigate linear and non-linear relationships between two equations. They discuss functions of graphs, tables and equations.
Curated OER
Composing Music Mathematically
High schoolers recognize relationships between mathematics and music by identifying the frequency and volume of a pure tone. Students discover that sound can be represented as a function and collect pure tones to generate smooth curves.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
PBL Pathways
Solar Toasters
Help a company maximize their profits! A detailed project-based learning activity examines two production scenarios. Your young scholars write a linear demand function. They then apply the function to develop a revenue, cost, and profit...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
Curated OER
As the Wheel Turns
This is not your typical Ferris wheel problem. For this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the...
Curated OER
Find Parabolas through Two Points
Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.
Hawaiʻi State Department of Education
Railroad Tracks
Ahhh the vanishing point! Sounds ominous, but it's not. Fifth graders analyze the use of perspective in Renaissance art. They practice using linear perspective to draw railroad tracks that seem to go on forever. Tip: Make this lesson...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
West Contra Costa Unified School District
Solving Quadratic Equations – Alternative Methods
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
Curated OER
Graphing Inequalities in Two Variables
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
Curated OER
US Population 1790-1860
Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.
Curated OER
Systems of Equations
Texas Instruments and Glencoe/McGraw-Hill have put together a full lesson to help you instruct your math class. Using the textbook, a TI-83 calculator, and attached the PDF learners will solve systems of equations and state decimal...
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
Curated OER
Urban Ecosystems 4: Metabolism of Urban Ecosystems
Students discover that material and energy uses by a city come from outside the city boundaries. They realize that the pathway of these material is linear instead of cyclical as they are in natural ecosystems.
Gatsby Charitable Foundation
Four Activities Using Straight Line Graphs
This math packet includes four different activities which puts linear equations and line of best fit in the context of real world applications. Each activity uses a different linear math modeling equation and asks the learners to...
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
CK-12 Foundation
Arithmetic Sequences: Paying of a Loan
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...
Concord Consortium
Bill the Ball Bearing Man
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
Curated OER
Graphs and Ellipses
High schoolers explore linear graphs, the parabola and the rectangular hyperbola.
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